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Finding the Fourth Proportional to 2,003.38, 3,005.45 and 616.47

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Solution

The fourth proportional to 2,003.38, 3,005.45 and 616.47 is: 924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.38 : 3,005.45 = 616.47 : x
  2. Step 2: Convert to fraction form
    2,003.38/3,005.45 = 616.47/x
  3. Step 3: Cross multiply
    2,003.38x = 3,005.45 × 616.47
  4. Step 4: Simplify right side
    2,003.38x = 1,852,754.73
  5. Step 5: Solve for x
    x = 1,852,754.73/2,003.38
  6. Step 6: Final answer
    x = 924.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.